Question

simplify logbase6 1/216 please show steps

Answer 1

\[1/216= 1/6^3\]
or \(6^{-3}\)
\[ log (6)^{-3}\]
\[ -3 log (6)\]
=-3

Answer 2

so because 216=6*6*6 = 6 on exponent 3
- and 1/216 we will get from 6 on exponent minus 3
- so from these resulted that

log(base6) 1/216 = log(base6) 6 on exponent minus 3
- and we know that log(base a) a = 1
- so hence we can getting this equal (-3)

Answer 3

hope so much that is understandably sure